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den301095 [7]
3 years ago
15

PLZ HELP!!! 20 POINTS!!! 1. Solve the system of equations by graphing: x + y = 3

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
First you need to fix the equation in order to graph.
x + y = 3
Subtract x from both sides.
y = -1x + 3
Now graph.
(Whenever there is a variable by itself there is always a 1 in front of it.)
There is a site called desmos that can help↓

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If tanh x = 12 13 , find the values of the other hyperbolic functions at x. sinh x = 12/5 correct: your answer is correct. cosh
Rom4ik [11]
Tanh x  = 12/13

1) Calculate cosh x:

cosh² x = 1/(1-tanh² x) →→ 1/[1-(12/13)²] = 1/(1-144/169) = 1/[(169-144)169]

cosh²x = 169/25 and cosh x = + or - 13/5

2) Calculate sinh x
 
sinh x/cosh x = tanh x →→sinh x = (cosh x)(tanh x)

sinh x = + or - (13/5)(12/13) →→sinh x= + or - 12/5

From here onward you can calculate easily coth x, sech x, csch x

7 0
3 years ago
What's the equation of the line that's a perpendicular bisector of the segment connecting C (6, –12) and D (10, –8)? answers: A)
vitfil [10]

Answer:

A

Step-by-step explanation:

Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.

First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.

midpoint= ( \frac{x1 + x2}{2} ,  \frac{y1 + y2}{2} )

Thus, midpoint of CD

= ( \frac{6 + 10}{2} , \frac{ - 12 - 8}{2} ) \\  = ( \frac{16}{2} , \frac{ - 20}{2} ) \\  = (8, - 10)

Gradient of line CD

=  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{ - 12 -  ( - 8)}{6 - 10}  \\  =  \frac{ - 12 + 8}{ - 4} \\  =  \frac{ - 4}{ - 4}  \\  = 1

The product of the gradients of perpendicular lines is -1.

gradient if perpendicular bisector(1)= -1

gradient of perpendicular bisector= -1

y=mx +c, where m is the gradient and c is the y-intercept.

y= -x +c

Subst a coordinate to find c.

<em>Since the perpendicular bisector passes through the point (8, -10):</em>

When x=8, y= -10,

-10= -8 +c

c= -10 +8

c= -2

Thus, the equation of the perpendicular bisector is y= -x -2.

5 0
3 years ago
during a giving month there was a total of 23.6 inches of rain this was 250% of the average rainfall for that month what is the
yanalaym [24]
23.6*2.5=59 inches of average rainfall for that month

8 0
3 years ago
Kenji's town voted on a new speed limit. Of the votes received, 39 were in favor of the new speed limit and 13 were opposed. Wha
Nata [24]

Answer:

75%

Step-by-step explanation:

You need to find the total number of votes first. Just add 13 and 39 which would equal 52.

Then divide the number of people in favour by the total number of voters and multiply by a 100 to find the percentage.

39 + 13 = 52

39/52 = 0.75

0.75 x 100 = 75.0

75%

8 0
3 years ago
Evaluate the function.
Natali5045456 [20]
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
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